Fluctuations and correlations in sandpiles and interfaces with boundary pinning

Interfaces are studied in an inhomogeneous critical state where boundary pinning is compensated with a ramped force. Sandpiles driven off the self-organized critical point provide an example of this ensemble in the Edwards-Wilkinson (EW) model of kinetic roughening. A crossover from quenched to thermal noise violates spatial and temporal translational invariances. The bulk temporal correlation functions have the effective exponents beta(1D) approximately 0.88+/-0.03 and beta(2D) approximately 0.52+/-0.05, while at the boundaries beta(b,1D/2D) approximately 0.47+/-0.05. The bulk beta(1D) is shown to be reproduced in a randomly kicked thermal EW model.